cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

Showing 1-3 of 3 results.

A244757 Incrementally largest terms in the continued fraction for the base 3 Champernowne constant (A077772).

Original entry on oeis.org

0, 1, 2, 37, 162, 3068518062211324, 1079268324684171943515797470873767312825026176345571319042096689270
Offset: 1

Views

Author

John K. Sikora, Jul 05 2014

Keywords

Links

Crossrefs

Cf. A077772 (Continued fraction expansion of the ternary Champernowne constant.)
Cf. A244332 (Position of the incrementally largest term in the continued fraction for the ternary Champernowne constant.)

A244333 Number of ternary digits in the high-water marks of the terms of the continued fraction of the base 3 Champernowne constant (A077772).

Original entry on oeis.org

0, 1, 1, 4, 5, 33, 139, 515, 1809, 6181, 20759, 68871, 226333, 738089, 2391459, 7705867, 24711977, 78918957, 251105839
Offset: 1

Views

Author

John K. Sikora, Jun 27 2014

Keywords

Links

Crossrefs

Cf. A077772 (Continued fraction expansion of the ternary Champernowne constant.)
Cf. A244757 (Incrementally largest terms in the continued fraction for the base 3 Champernowne constant.)
Cf. A244332 (Position of the incrementally largest term in the continued fraction for the base 3 Champernowne constant.)

Programs

  • Ruby
    puts (5..19).collect {|n| (1..(n-3)).inject(0) {|sum, m| sum+2*m*3**(m-1)}+3-n-2*((1..(n-4)).inject(0) {|sum1, m1| sum1+2*m1*3**(m1-1)}+3-(n-1))-3*(n-2)+4}

Formula

It appears that: Define NCD(N)=3-N+(sum{m=1..(N-3)} 2*m*3^(m-1)); then for n>=5, a(n) = NCD(n)-2*NCD(n-1)-3*(n-2)+4.

A244759 Number of ternary digits in the n-th term of the continued fraction of the base 3 Champernowne constant (A077772).

Original entry on oeis.org

0, 1, 1, 1, 4, 1, 5, 1, 1, 1, 2, 1, 2, 1, 3, 1, 2, 1, 33, 1, 1, 1, 2, 3, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 2, 2, 6, 1, 139, 1, 1, 1, 2, 2, 3, 2, 1, 3, 1, 1, 2, 4, 1, 2, 2, 1, 4, 1, 1, 2, 1, 1, 2, 2, 2, 3, 1, 1, 2, 2, 1, 1, 1
Offset: 1

Views

Author

John K. Sikora, Jul 06 2014

Keywords

Links

Crossrefs

Cf. A077772 (Continued fraction expansion of the ternary Champernowne constant.)
Cf. A244332 (Position of the incrementally largest term in the continued fraction for the base 3 Champernowne constant.)
Showing 1-3 of 3 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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